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Finding the Fourth Proportional to 298,667.34, 448,033.41 and 148,945.32

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Solution

The fourth proportional to 298,667.34, 448,033.41 and 148,945.32 is: 223,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,667.34 : 448,033.41 = 148,945.32 : x
  2. Step 2: Convert to fraction form
    298,667.34/448,033.41 = 148,945.32/x
  3. Step 3: Cross multiply
    298,667.34x = 448,033.41 × 148,945.32
  4. Step 4: Simplify right side
    298,667.34x = 66,732,479,623.14
  5. Step 5: Solve for x
    x = 66,732,479,623.14/298,667.34
  6. Step 6: Final answer
    x = 223,434.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.